Consider the lamina that occupies the triangular region with vertices (0, 0), (2, 2) and (2, –2), with density Р(x, у) 3 х2. =
Consider the lamina that occupies the triangular region with vertices (0, 0), (2, 2) and (2, –2), with density Р(x, у) 3 х2. =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the lamina that occupies the triangular region with vertices (0, 0), (2, 2) and (2, –2), with density
p(x, y) = x².
Recall that the mass of the lamina is given by
m =
Р(х, у) dA,
where D is the region occupied by the lamina.
(a) The mass of the lamina is
(b) The centre of mass of the lamina is (
). Please enter your answer as decimals.
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